On Waylen's regular axisymmetric similarity solutions.

Details On Waylen's regular axisymmetric similarity solutions. On Waylen's regular axisymmetric similarity solutions.

May 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000gregr..32..857f&link_type=abstract

Gen. Relativ. Gravitation, Vol. 32, No. 5, p. 857 - 864

Physics

Gravitation Theory: Space-Time

Scientific paper

The authors review the similarity solutions proposed by Waylen for a regular time-dependent axisymmetric vacuum space-time, and show that the key equation introduced to solve the invariant surface conditions is related by a Backlund transform to a restriction on the similarity variables. The authors further show that the vacuum space-times produced via this path automatically possess a (possibly homothetic) Killing vector, which may be time-like.

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